Information on Result #713843
Linear OA(781, 360, F7, 30) (dual of [360, 279, 31]-code), using construction XX applied to C1 = C([29,56]), C2 = C([33,58]), C3 = C1 + C2 = C([33,56]), and C∩ = C1 ∩ C2 = C([29,58]) based on
- linear OA(772, 342, F7, 28) (dual of [342, 270, 29]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,56}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {33,34,…,58}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(776, 342, F7, 30) (dual of [342, 266, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,58}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(763, 342, F7, 24) (dual of [342, 279, 25]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {33,34,…,56}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), using
- linear OA(71, 5, F7, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(781, 180, F7, 2, 30) (dual of [(180, 2), 279, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(781, 120, F7, 3, 30) (dual of [(120, 3), 279, 31]-NRT-code) | [i] | ||